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Finding the Fourth Proportional to 4,635.52, 6,948.16 and 2,034.56

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Solution

The fourth proportional to 4,635.52, 6,948.16 and 2,034.56 is: 3,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.52 : 6,948.16 = 2,034.56 : x
  2. Step 2: Convert to fraction form
    4,635.52/6,948.16 = 2,034.56/x
  3. Step 3: Cross multiply
    4,635.52x = 6,948.16 × 2,034.56
  4. Step 4: Simplify right side
    4,635.52x = 14,136,448.41
  5. Step 5: Solve for x
    x = 14,136,448.41/4,635.52
  6. Step 6: Final answer
    x = 3,049.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.